What is the Least Common Multiple of 21856 and 21872?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21856 and 21872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21856 and 21872, than apply into the LCM equation.

GCF(21856,21872) = 16
LCM(21856,21872) = ( 21856 × 21872) / 16
LCM(21856,21872) = 478034432 / 16
LCM(21856,21872) = 29877152

Least Common Multiple (LCM) of 21856 and 21872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21856 and 21872. First we will calculate the prime factors of 21856 and 21872.

Prime Factorization of 21856

Prime Factorization of 21872

Now multiplying the highest exponent prime factors to calculate the LCM of 21856 and 21872.

LCM(21856,21872) = 2⁵ × 683¹ × 1367¹
LCM(21856,21872) = 29877152